A local discontinuous Galerkin approximation for systems with p-structure
Lars Diening, Désirée Kroner, M. R i ka, Ioannis Toulopoulos · IMA Journal of Numerical Analysis · 2013
In the present paper, we propose a local discontinuous Galerkin (LDG) approximation for systems with p-structure. We discuss appropriate DG spaces and numerical fluxes for the problem. Based on the primal formulation, we show stability (a priori estimates) of the method. We derive error estimates, which are optimal for linear ansatz functions. Moreover, we prove new functional analytic tools for the DG setting.